# 論文命題過程
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###### tags: `Thesis`
## 論文題目：
- Power-ramping-based UORA for IEEE 802.11be Systems

## 貢獻
1. Develop an analytical model to estimate the performance of the power-ramping-based UORA system
2. Compare the power consumption of each power-ramping method

## 實驗目的 :
:::info
本論文提出一個基於power-ramping的UORA在IEEE 802.11be的分析模型，
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## 實驗問題定義 :　
:::info

1. Low Success Probablity in UORA
2. No model to behave power-ramping in UORA
- IEEE 802.11be does not have a special specification for the capture effect

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## 挑戰 : 克服問題的困難
:::danger
1. How to prove power-ramping is better than general UORA?
2. How to ensure the analytical model is correct?
3. How to prove the assumption make sense
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## 實驗流程
1. 假設輸出圖片
2. 證明AP環境可以假設path loss不存在，在真實情況下也不會影響太多
- if Capture ratio=3 -> 95% of STAs fit
3. 推導出嘉宏學長 ball in box for power-ramping
- original (1 ball = success): $E[S]=m(1-\frac{1}{R})^{m-1}$
- general (n ball = success):
- $E[Y] = (^m_n)(\frac{1}{R^n})(1 - \frac{1}{R})^{m-n}$
- $E[S] = R * E[Y]$
- power-ramping ((1 ball) || (2 ball) = success)
- $E[s] = E_1[s] + E_2[s]$
- $E[s] = m * (1 - \frac{1}{R})^{m-1} + (\frac{m^2-m}{2R})(1 - \frac{1}{R})^{m-2}$
4. 推出 UORA anlytical 公式
5. 跑 UORA simulation 去驗證 UORA anlytical 公式

- Consider path loss:
- transmit power: $P_T$
- Receive Power: $P_R = \frac{P_T \lambda^2}{(4 \pi d)^2}$